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Cambridge & Pearson Edexcel Past Paper Questions

Browse 35,704 questions from Cambridge O-Level & A-Level and Pearson Edexcel IGCSE & IAL exams. Click any question to practice.

O-LevelMathematicsTrigonometryMay/June 2023

ABC is a triangle with AC = 8.3 cm and BÂC = 105°. Construct triangle ABC. Line AB has been drawn for you.

O-LevelMathematicsAlgebra and graphsMay/June 2023

Maya leaves the office for a factory visit. The distance-time graph shows her journey from the office to the factory. [Figure 8.1] Maya stays at th...

O-LevelMathematicsVectors and transformationsMay/June 2023

The Bukhari family and the Garcia family are going on holiday. In the Bukhari family there are 2 adults and 3 children. In the Garcia family there ...

O-LevelMathematicsStatisticsMay/June 2023

Bags of sweets are packed into boxes.

O-LevelMathematicsMensurationMay/June 2023

The diagram shows an open container on a horizontal surface. The container is a prism with trapezium ABCD as its cross-section. AB = 28 cm, DC = 24...

O-LevelMathematicsNumberMay/June 2023

(a) A shop buys some fruit. The table shows the bill for this fruit. Item | Quantity (kg) | Price per kg () | Cost price () Bananas | 50 | 0.51 | 2...

O-LevelMathematicsAlgebra and graphsMay/June 2023

One chocolate bar costs p cents and one packet of sweets costs 75 cents. Tanish pays $9.10 for 5 chocolate bars and 8 packets of sweets. Form an eq...

O-LevelMathematicsGeometryMay/June 2023

(a) [Figure 3.1] The diagram shows the equilateral triangle B and part of the regular polygon A which have a common side. The interior angle of pol...

O-LevelMathematicsAlgebra and graphsMay/June 2023

(a) Complete the table of values for y = 2ˣ/5. x | -1 | 0 | 1 | 2 | 3 | 4 y | 0.1 | 0.2 | 0.4 | 0.8 | 1.6 | (b) Draw the graph of y = 2ˣ/5 for -1 ≤...

O-LevelMathematicsNumberMay/June 2023

(a) The table shows the population and area of three countries in 2019. Country | Population | Area (km²) Sri Lanka | 2.18 × 10⁷ | 6.56 × 10⁴ South...

O-LevelMathematicsNumberMay/June 2023

Sophia takes part in the Trio Challenge. She walks, then cycles and then swims. Trio Challenge Walk 6.3 km Cycle 3000 m Swim 1800m

O-LevelMathematicsStatisticsMay/June 2023

(a) On Monday, the amount of money spent on a website by each customer was recorded. The table shows the results. Amount of money (m) | 0<m≤30 | 30...

O-LevelMathematicsMensurationMay/June 2023

(a) [Figure 8.1] The length of the rectangle R is twice its width. Rectangle R has a perimeter of 20.4 cm. (b) [Figure 8.2] A piece of card is a se...

O-LevelMathematicsTrigonometryMay/June 2023

[Figure 9.1] A, B and C are points on horizontal ground. The bearing of B from A is 072°. The bearing of C from A is 205°. AB = 170m and AC = 95 m....

O-LevelMathematicsVectors and transformationsMay/June 2023

(a) F is the point (6, 1), G is the point (–2, 4) and GH = (-3 8). Calculate |FH|. (b) [Figure 10.1] OA = a, OB = b and AC = kb. X is the point on ...

O-LevelMathematicsGeometryMay/June 2024

From this word write down the letters which have

O-LevelMathematicsNumberMay/June 2024

At the start of the day the mass of a bird is 4.628 kg. Later in the day the mass of this bird is 4.693 kg. Calculate the increase in the mass of t...

O-LevelMathematicsNumberMay/June 2024

Work out. 0.3 × 0.02

O-LevelMathematicsGeometryMay/June 2024

(a) ABC is a triangle with AC = 5cm and BC = 10cm. Using a ruler and compasses only, construct triangle ABC. AB has been drawn for you. [Figure: li...

O-LevelMathematicsProbabilityMay/June 2024

The table shows information about a class of 28 students and the distances they live from their school. [Table with columns Boys, Girls and rows D...

O-LevelMathematicsAlgebra and graphsMay/June 2024

Simplify 6r+7s-r+3s.

O-LevelMathematicsGeometryMay/June 2024

A square and a regular pentagon are joined along one edge as shown in the diagram. [Figure: Diagram of a square and a regular pentagon joined, with...

O-LevelMathematicsNumberMay/June 2024

Ahmed invests $4000 at a rate of 1.5% per year simple interest. Calculate the value of the investment after 2 years.

O-LevelMathematicsAlgebra and graphsMay/June 2024

(a) The diagram shows the distance-time graph of a cyclist for the first two stages of a race, AB and BC. [Figure: distance-time graph with points ...

O-LevelMathematicsNumberMay/June 2024

(a) The diagram shows the fuel gauge of a car. This car has 40 litres of fuel in the tank. [Figure: Fuel gauge with empty and full marks, needle po...

O-LevelMathematicsNumberMay/June 2024

Tom's pet eats 3/5 of a tin of food each day. Tom needs food for his pet for 12 days. Calculate the number of tins of food Tom needs to buy.

O-LevelMathematicsAlgebra and graphsMay/June 2024

Solve. 4(2x-3)+5(x+5) = 20

O-LevelMathematicsNumberMay/June 2024

The pie chart shows the proportion of junior members and senior members at a gym. There are 120 more senior members than junior members. [Figure: P...

O-LevelMathematicsAlgebra and graphsMay/June 2024

Solve the simultaneous equations. Show all your working. 2x + 3y = 7, x - 6y = 6

O-LevelMathematicsNumberMay/June 2024

By writing each number correct to one significant figure, estimate the value of 2.87 × √396.5 ─────── 1.92²

O-LevelMathematicsGeometryMay/June 2024

A, B, C and D are points on the circumference of a circle centre O. Angle BCD = 58° and angle DBC = 72°. [Figure: Circle with points A, B, C, D on ...

O-LevelMathematicsStatisticsMay/June 2024

The table shows the time that each of 60 children spends in a play area. [Table with Time (t mins) and Frequency: 0<t≤10 (4), 10<t≤40 (7), 40<t≤60...

O-LevelMathematicsAlgebra and graphsMay/June 2024

In this table, p is directly proportional to q². [Table with p and q rows: p values 12, a, 48; q values 2, 7, b] Calculate the value of a and the v...

O-LevelMathematicsAlgebra and graphsMay/June 2024

f(x) = 2x-5 Find f(11).

O-LevelMathematicsVectors and transformationsMay/June 2024

The matrix N satisfies the equation 3N = N + 5(4 0) (6 -2) Find N.

O-LevelMathematicsMensurationMay/June 2024

Prism A and prism B are mathematically similar. In the diagram, the cross-sections of the prisms are shaded. The volume of prism A is 5000 cm³. The...

O-LevelMathematicsAlgebra and graphsMay/June 2024

a = (5b+2x)/(x-3) Rearrange the formula to make x the subject.

O-LevelMathematicsCoordinate geometryMay/June 2024

AB is a line segment joining A (-2, 5) and B (1, 3).

O-LevelMathematicsVectors and transformationsMay/June 2024

ABCD is a quadrilateral. H, K, L and M are the midpoints of AB, BC, CD and AD respectively. AB = 2a, BC = 2b and AD = 2d. [Figure: Quadrilateral AB...

O-LevelMathematicsGeometryMay/June 2024

Shade one more small square so the diagram has one line of symmetry. [Figure 2(a)]

O-LevelMathematicsStatisticsMay/June 2024

Olga writes a list of five numbers. The median of the numbers is 12. The mode of the numbers is 11. The range of the numbers is 10. The sum of the ...

O-LevelMathematicsMensurationMay/June 2024

Convert 4 kilograms to grams.

O-LevelMathematicsMensurationMay/June 2024

In this question all dimensions are given in centimetres.

O-LevelMathematicsNumberMay/June 2024

Jack uses number cards to make a 2-digit number. Complete the missing card to give a 2-digit number that is not a prime number. [Figure 6(a)]

O-LevelMathematicsNumberMay/June 2024

Work out (2/7) ÷ (1/3).

O-LevelMathematicsNumberMay/June 2024

A train leaves station A at 07 43. The train arrives at station B at 10 27. Work out the time the train takes to travel from station A to station B.

O-LevelMathematicsAlgebra and graphsMay/June 2024

There are red pens, blue pens and black pens in a box. There are x red pens. The number of blue pens is 5 more than the number of red pens. The num...

O-LevelMathematicsGeometryMay/June 2024

The scale drawing shows part of a field, ABCD. The scale is 1 cm to 50m. [Figure 10]

O-LevelMathematicsNumberMay/June 2024

By writing each number correct to 1 significant figure, estimate the value of (5.32+3.97) / √878

O-LevelMathematicsAlgebra and graphsMay/June 2024

a = 5b+7 Find the value of a when b = -2.

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